Trig Ratios & Missing Sides

Front

What is the sine function used for in trigonometry?

Back

The sine function is used to find the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine function used for in trigonometry?

Back

The cosine function is used to find the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the tangent function used for in trigonometry?

Back

The tangent function is used to find the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

If the opposite side is 5 and the hypotenuse is 13, what is the sine of the angle?

Back

The sine of the angle is 5/13 or approximately 0.3846.

Front

If the adjacent side is 12 and the hypotenuse is 13, what is the cosine of the angle?

Back

The cosine of the angle is 12/13 or approximately 0.9231.

Front

If the opposite side is 5 and the adjacent side is 12, what is the tangent of the angle?

Back

The tangent of the angle is 5/12 or approximately 0.4167.

Front

How do you find the length of a missing side using sine?

Back

To find a missing side using sine, use the formula: opposite = hypotenuse × sin(angle).

Front

How do you find the length of a missing side using cosine?

Back

To find a missing side using cosine, use the formula: adjacent = hypotenuse × cos(angle).

Front

How do you find the length of a missing side using tangent?

Back

To find a missing side using tangent, use the formula: opposite = adjacent × tan(angle).